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Finding the Third Proportional to 136,664 and 280,132

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Solution

The third proportional to 136,664 and 280,132 is: 574,210.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,664 : 280,132 = 280,132 : x
  2. Step 2: Convert to fraction form
    136,664/280,132 = 280,132/x
  3. Step 3: Cross multiply
    136,664x = 280,132 × 280,132
  4. Step 4: Simplify right side
    136,664x = 78,473,937,424
  5. Step 5: Solve for x
    x = 78,473,937,424/136,664
  6. Step 6: Final answer
    x = 574,210.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.